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Finding the Third Proportional to 55,838 and 77,601

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Solution

The third proportional to 55,838 and 77,601 is: 107,846.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,838 : 77,601 = 77,601 : x
  2. Step 2: Convert to fraction form
    55,838/77,601 = 77,601/x
  3. Step 3: Cross multiply
    55,838x = 77,601 × 77,601
  4. Step 4: Simplify right side
    55,838x = 6,021,915,201
  5. Step 5: Solve for x
    x = 6,021,915,201/55,838
  6. Step 6: Final answer
    x = 107,846.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.